/* ----------------------------------------------------------------------    
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
*    
* $Date:        19. March 2015
* $Revision: 	V.1.4.5
*    
* Project: 	    CMSIS DSP Library    
* Title:		arm_cos_q31.c    
*    
* Description:	Fast cosine calculation for Q31 values.   
*    
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*  
* Redistribution and use in source and binary forms, with or without 
* modification, are permitted provided that the following conditions
* are met:
*   - Redistributions of source code must retain the above copyright
*     notice, this list of conditions and the following disclaimer.
*   - Redistributions in binary form must reproduce the above copyright
*     notice, this list of conditions and the following disclaimer in
*     the documentation and/or other materials provided with the 
*     distribution.
*   - Neither the name of ARM LIMITED nor the names of its contributors
*     may be used to endorse or promote products derived from this
*     software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* -------------------------------------------------------------------- */

#include "arm_math.h"
#include "arm_common_tables.h"

/**    
 * @ingroup groupFastMath    
 */

 /**    
 * @addtogroup cos    
 * @{    
 */

/**   
 * @brief Fast approximation to the trigonometric cosine function for Q31 data.   
 * @param[in] x Scaled input value in radians.   
 * @return  cos(x).   
 *   
 * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
 * value in the range [0 2*pi).
 */

q31_t arm_cos_q31(
  q31_t x)
{
  q31_t cosVal;                                  /* Temporary variables for input, output */
  int32_t index;                                 /* Index variables */
  q31_t a, b;                                    /* Four nearest output values */
  q31_t fract;                                   /* Temporary values for fractional values */

  /* add 0.25 (pi/2) to read sine table */
  x += 0x20000000;
  if(x < 0)
  {   /* convert negative numbers to corresponding positive ones */
      x = x + 0x80000000;
  }
  
  /* Calculate the nearest index */
  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;

  /* Calculation of fractional value */
  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;

  /* Read two nearest values of input value from the sin table */
  a = sinTable_q31[index];
  b = sinTable_q31[index+1];

  /* Linear interpolation process */
  cosVal = (q63_t)(0x80000000-fract)*a >> 32;
  cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);

  return cosVal << 1;
}

/**    
 * @} end of cos group    
 */